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Nadya [2.5K]
3 years ago
13

What is the equation of the line that passes through point(3,10) and has a y-intercept if -8

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

Answer:

X=3

Y=10

C=-8

Equation of line

Y=mx+c

m is the slope of the line

10=3m-8

3m=18

M=6

Step-by-step explanation:

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What is the prime factorization of 2x3x5x7
Mashutka [201]

This is already in prime factored form. If you multiply 2, 3, 5, and 7 you get 2*3*5*7 = 6*35 = 210

So if your book asked "what is the prime factorization of 210?" then the answer would be 2*3*5*7

I'm using the asterisk symbol * in place of x because x is often used as a variable in algebra.

6 0
4 years ago
Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.
hammer [34]

<u>Answer:</u>

The median amount of water is higher when the eighth day's amount is included in the data.

<u>Explanation:</u>

Given the ounces of water drank is 60, 58, 64, 64, 68, 50, 57

Arranging in ascending order: 50, 57, 58, 60, 64, 64, 68

Calculating the median of the above data

Median (when n is odd) = \left(\frac{n+1}{2}\right)^{t h} \text { term }

where n =7

Median = 4th term = 60

When the eight day is added,

Series will be: 50, 57, 58, 60, 64, 64, 68, 82

Median (when n is even) =       \frac{\left(\frac{n}{2}\right)^{t h} t e r m+\left(\frac{\pi}{2}+1\right)^{t h} t e r m}{2}

Median = \frac{60+64}{2}=62

So, here we can say that median has increased after adding 82 in the data

3 0
3 years ago
Read 2 more answers
Last​ year, a person wrote 123 checks. Let the random variable x represent the number of checks he wrote in one​ day, and assume
Sunny_sXe [5.5K]

Answer:The mean number of checks written per​ day = 0.3370

The standard deviation = 0.5805

The variance = 0.3370

Step-by-step explanation:

Let the random variable x represent the number of checks he wrote in one​ day.

Given : The number of checks written in last year = 123

Let the number of days in the year must be 365.

Now, the mean number of checks written per​ day will be  :-

\lambda=\dfrac{123}{365}=0.33698630137\approx0.3370

We know that in Poisson distribution , the variance is equals to the mean value .

\text{Thus , Variance }=\sigma^2= 0.3370

\Rightarrow\ \sigma=\sqrt{0.3370}=0.580517010948\approx0.5805

Thus,  Standard deviation = 0.5805

3 0
3 years ago
Please assist me with these problems​
Alex73 [517]

Answer:

1) $350

2) 55°

3) $300

Step-by-step explanation:

1) The total cost is the cost of the appointment plus the cost of the repair work.  The appointment costs $50.  The repair work costs $120 per 2 hours.  So the total cost is:

C = 50 + (120/2) t

C = 50 + 60t

For 5 hours of work, the cost is:

C = 50 + 60(5)

C = 350

It costs $350.

2) The temperature starts at 70°.  It drops 10° in 4 hours.  So the temperature after t hours is:

T = 70 + (-10/4) t

T = 70 − 2.5t

After 6 hours:

T = 70 − 2.5(6)

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The temperature is 55°.

3) Jennie's total pay is her weekly pay plus her commissions.  If her commission is x% of her sales, then her pay is:

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When her sales is $1000, her pay is $275.

275 = 250 + (x/100) 1000

275 = 250 + 10x

25 = 10x

x = 2.5

So her pay is:

P = 250 + (2.5/100) S

When S = $2000:

P = 250 + (2.5/100) 2000

P = 250 + 50

P = 300

Her total pay is $300.

8 0
3 years ago
The sum of 2 even numbers is 234 . Write and equation and solve for the numbers
Maurinko [17]
2 even numbers....x and x + 2

x + x + 2 = 234
2x + 2 = 234
2x = 234 - 2
2x = 232
x = 232/2
x = 116 <===

x + 2 = 116 + 2 = 118 <==
7 0
3 years ago
Read 2 more answers
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